mathface.com
This has now evolved into an online course, if you would like to attend please contact me via email and I will send you the link to participate.
On this page you will find lecture notes and exercise sheets. If you notice any errors, please let me know.
I took a (virtual) Quiz as a final exam for the course, you can find the details and quiz slides here.
Lectures on Monday: 13:15-14:30 and Wednesday: 16:00-17:15.
Lecture-7-cohomology
Lecture-8-proper-and-affine-curves
Lecture-9-Riemann-Roch-1
Lecture-10-Dualizing-sheaf-and-theorem
Lecture-11-Curve-of-genus-zero
Lecture-12-Hurwitzs-theorem
Lecture-13-Classifying-Elliptic-curves
Lecture-14-Curves-of-genus-2-and-3
Lecture 15-Moduli functors
Lecture 16-Flat families and Hilbert scheme
Lecture 17-Hilbert schemes I
Lecture 18 More on Flatness
Lecture 19 Hilbert scheme II
Lecture 20 Grassmannians
Lecture 21 Effective Serre’s Theorem
Lecture 22-Projectivity of Hilbert scheme-1
Lecture 23-Tangent space of Hilbert scheme
Lecture 24 Not representable functors
Lecture 25-Coarse moduli space
GAGA-Theorems
Exercise Sheet 1
Exercise Sheet 2
My husband (Harshul Brahmbhatt) and me have been involved in helping Schools and Teachers in adopting play and discovery based pedagogy for teaching mathematics to school students. You can find some resources on his website: PLAYLEARN